On Janowski functions associated with (n, m)-symmetrical functions. Issue 1 (11th December 2019)

• Record Type: Journal Article
• Authors: Alsarari, Fuad; Latha, Satyanarayana; Bulboacă, Teodor
• Is Part Of: Journal of Taibah University for science. Volume 13:Issue 1(2019)
• Page Start: 972
• Page End: 978
• Publication Date: 2019-12-11
• Subjects: Janowski functions -- differential subordination -- starlike functions -- convex functions -- m-fold symmetric domain -- (n, m)-symmetrical functions; Primary 30C45; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2019.1665487
• Languages: English
• ISSNs: 1658-3655

Abstract

Abstract: The aim in the present work is to introduce and study new subclasses of analytic functions that are defined by using the generalized classes of Janowski functions combined with the ( n, m ) -symmetrical functions, that generalize many others defined by different authors. We gave a representation theorem for these classes, certain inherently properties, while covering and distortion properties are also pointed out.